# calculus

posted by .

find the first derivative of
f(t)= (1-t)^(1/2)

• calculus -

f(t)= (1-t)^(1/2)

chain rule

f'(t)= 1/2(x)^(-1/2)dx

x= 1-t
dx= -1

f'(t)= 1/2(1-t)^(-1/2)(-1)

f'(t)= (-1/2)(1-t)^(-1/2)

f'(t)= -1/(2sqrt1-t)

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Calculus - derivatives

Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative …
2. ### College Calculus 1

We have to find the first and second derivative of f(x)=x^(2/3)(6-x)^(1/3) I have the first derivative as being (4-x)/(x^(1/3)(6-x)^(2/3)) And that I know is right. The second derivative is -8/(x^(4/3)(6-x)^(5/3)) I did all the work …
3. ### calculus

Find the first and second derivative - simplify your answer. y=x/4x+1 I solved the first derivative and got 1/(4x+1)^2 Not sure if I did the first derivative right and not sure how to do the second derivative.
4. ### Calculus

I need to find the second derivative of y=x(x-1)^1/2. I found the first derivative is 2x-1/2(x-1)^1/2, if someone could check, but I am miserably stuck on the second derivative.
5. ### calculus

Differentiate both sides of the double angle identify sin 2x= 2 sin x cos x to determine an identify for cos x. Find the first derivative, second derivative, third fourth, fifth, sixth, seventh and eighth derivative. Use the results …
6. ### calculus

find the second derivative of F(x)=3e^-2x(^2) to find the inflection points. I am trying but I don't think I'm finding the first derivative correctly.
7. ### Applied Calculus

Find the first and second derivative of the function: x/(7x+10) Using quotient rule. This is part of my homework in the section named "Higher Order Derivatives". I am confused on getting the second derivative, as I found the first …
8. ### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!!
9. ### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection …
10. ### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection …

More Similar Questions